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according added addition algebraic applying arrangements becomes binomial Calculate called changed CHAPTER coefficients column common complete condition Consider contains continued convergent corresponding cube decimal definition denominator determinant difference discussion divided division divisor dollars equal equation equivalent EXAMPLE EXERCISE expansion exponent expression factors figures Find formula four fourth fraction given gives greater Hence holds imaginary increases inequality integer interest involving less letters limit logarithm means method multiplied negative obtained operation places polynomial positive possible preceding principle problem proportion proved quotient rational reduced relation remainder represented respectively result rule satisfy side Similarly solution Solve square root substituting subtraction Suppose surd symbols taken theorem things third tion triangle units unknown quantities written zero
Página 203 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Página 77 - Raise the absolute value of the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Página 69 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Página 584 - What will $ 100 amount to in 7 years with interest at 8% per annum, compounded semi-annually ? 3. In how many years will a sum of money double itself at 6%, compounded annually ? 4.
Página 179 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour ? 43.
Página 517 - In any proportion, the terms are in proportion by Alternation; that is, the first term is to the third as the second term is to the fourth.
Página 518 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Página 522 - The first of four magnitudes is said to have the same ratio to the second, that the third has to the fourth, when any equimultiples...